Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 469, 837, 180, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 469, 837, 180, 742 is 1
GCD(469, 837, 180, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 469, 837, 180, 742 is 1
GCD(469, 837, 180, 742) = 1
Given Input numbers are 469, 837, 180, 742
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 469, 837, 180, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 837, 180, 742 is 1.
Therefore, GCD of numbers 469, 837, 180, 742 is 1
Given Input Data is 469, 837, 180, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 469 is 7 x 67
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 742 is 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(469, 837) = 392553
GCD(469, 837) = ( 469 x 837 ) / 392553
GCD(469, 837) = 392553 / 392553
GCD(469, 837) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
GCD of 469, 837, 180, 742 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 469, 837, 180, 742?
GCD of 469, 837, 180, 742 is 1
2. Where do I get the detailed procedure to find GCD of 469, 837, 180, 742?
You can find a detailed procedure to find GCD of 469, 837, 180, 742 on our page.
3. How to find GCD of 469, 837, 180, 742 on a calculator?
You can find the GCD of 469, 837, 180, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.